Answer:
The answer is [tex]\frac{17}{24}[/tex] .
Step-by-step explanation:
Use the KCF (keep, change, flip) method:
Keep the first fraction the same:
[tex]\frac{17}{54}[/tex] ÷ [tex]\frac{4}{9}[/tex]
Change the division sign to a multiplication sign:
[tex]\frac{17}{54}[/tex] · [tex]\frac{4}{9}[/tex]
Flip the second fraction:
[tex]\frac{17}{54}[/tex] · [tex]\frac{9}{4}[/tex]
Simplify by dividing 9 into 54 and 9.
[tex]\frac{17}{54/6}[/tex] · [tex]\frac{9/9}{4}[/tex]
[tex]\frac{17}{6}[/tex] · [tex]\frac{1}{4}[/tex]
Then, multiply the fraction across normally.
[tex]\frac{17*1}{6*4}[/tex]
[tex]\frac{17}{24}[/tex]
